Filippov Ratio-Dependent Prey-Predator Model with Threshold Policy Control | Zendy

Xianghong Zhang | Zendy; Sanyi Tang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Filippov Ratio-Dependent Prey-Predator Model with Threshold Policy Control

Author(s) -

Xianghong Zhang,

Sanyi Tang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/280945

Subject(s) - mathematics , tangent , boundary (topology) , bifurcation , control theory (sociology) , population , predation , mode (computer interface) , stability (learning theory) , economic threshold , nonlinear system , mathematical analysis , control (management) , geometry , computer science , ecology , physics , demography , quantum mechanics , artificial intelligence , machine learning , sociology , biology , operating system

The Filippov ratio-dependent prey-predator model with economic threshold is proposed and studied. In particular, the sliding mode domain, sliding mode dynamics, and the existence of four types of equilibria and tangent points are investigated firstly. Further, the stability of pseudoequilibrium is addressed by using theoretical and numerical methods, and also the local sliding bifurcations including regular/virtual equilibrium bifurcations and boundary node bifurcations are studied. Finally, some global sliding bifurcations are addressed numerically. The globally stable touching cycle indicates that the density of pest population can be successfully maintained below the economic threshold level by designing suitable threshold policy strategies

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research